Riemannian Geometry, Peter Petersen

Автор: Thierry Aubin
Название: Some Nonlinear Problems in Riemannian Geometry
ISBN: 364208236X ISBN-13(EAN): 9783642082368
Издательство: Springer
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Цена: 121070.00 T
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Описание: During the last few years, the field of nonlinear problems has undergone great development. This book consisting of the updated Grundlehren volume 252 by the author and of a newly written part, deals with some important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved. Each problem is explained, up-to-date results are given and proofs are presented. Thus, the reader is given access, for each specific problem, to its present status of solution as well as to the most up-to-date methods for approaching it. The main objective of the book is to explain some methods and new techniques, and to apply them. It deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber.

Автор: D. E. Blair
Название: Contact Manifolds in Riemannian Geometry
ISBN: 3540076263 ISBN-13(EAN): 9783540076261
Издательство: Springer
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Цена: 23250.00 T
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Автор: Gianna Stefani; Ugo Boscain; Jean-Paul Gauthier; A
Название: Geometric Control Theory and Sub-Riemannian Geometry
ISBN: 3319350250 ISBN-13(EAN): 9783319350257
Издательство: Springer
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Цена: 102480.00 T
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Описание: Presenting state-of-the-art research in a highly applicable field, this collection features papers by leading scientists combining these two methodologies, in honor of the groundbreaking work of Andrei Agrachev. It includes a chapter on open problems.

Автор: Fr?d?ric Jean
Название: Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning
ISBN: 3319086898 ISBN-13(EAN): 9783319086897
Издательство: Springer
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Цена: 46570.00 T
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Описание: Nonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry, which plays for these systems the same role as Euclidean geometry does for linear systems.

Автор: J?rgen Jost
Название: Riemannian Geometry and Geometric Analysis
ISBN: 3319618598 ISBN-13(EAN): 9783319618593
Издательство: Springer
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Цена: 79190.00 T
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Описание: This established reference work continues to introduce its readers to some of the hottest topics in contemporary mathematical research. This sixth edition includes, among other new additions, a systematic treatment of eigenvalues of Riemannian manifolds.

Автор: D.N. Kupeli
Название: Singular Semi-Riemannian Geometry
ISBN: 9048146895 ISBN-13(EAN): 9789048146895
Издательство: Springer
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Цена: 130390.00 T
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Автор: D.N. Kupeli
Название: Singular Semi-Riemannian Geometry
ISBN: 0792339967 ISBN-13(EAN): 9780792339960
Издательство: Springer
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Цена: 71730.00 T
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Описание: Provides an exposition of singular semi-Riemannian geometry, the study of a smooth manifold furnished with a degenerate (singular) metric tensor of arbitrary signature. This book is intended for graduate students of differential geometry, who have some background knowledge on the subject of complex manifolds.

Автор: Andre Bellaiche; Jean-Jaques Risler
Название: Sub-Riemannian Geometry
ISBN: 3034899467 ISBN-13(EAN): 9783034899468
Издательство: Springer
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Цена: 130430.00 T
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Описание:

Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen years, with motivations and ramifications in several parts of pure and applied mathematics, namely:
- control theory - classical mechanics - Riemannian geometry (of which sub-Riemannian geometry constitutes a natural generalization, and where sub-Riemannian metrics may appear as limit cases) - diffusion on manifolds - analysis of hypoelliptic operators - Cauchy-Riemann (or CR) geometry.
Although links between these domains had been foreseen by many authors in the past, it is only in recent years that sub- Riemannian geometry has been recognized as a possible common framework for all these topics.
This book provides an introduction to sub-Riemannian geometry and presents the state of the art and open problems in the field. It consists of five coherent and original articles by the leading specialists:
- Andre Bellaiche: The tangent space in sub-Riemannian geometry - Mikhael Gromov: Carnot-Caratheodory spaces seen from within - Richard Montgomery: Survey of singular geodesics - Hector J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers - Jean-Michel Coron: Stabilization of controllable systems

Автор: Paul Baird; Ahmad El Soufi; Ali Fardoun; Rachid Re
Название: Variational Problems in Riemannian Geometry
ISBN: 3034896409 ISBN-13(EAN): 9783034896405
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
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Описание: This volume has grown from a conference entitled Harmonic Maps, Minimal Sur- faces and Geometric Flows which was held at the Universite de Bretagne Occi- dentale from July 7th-12th, 2002, in the town of Brest in Brittany, France. We welcomed many distinguished mathematicians from around the world and a dy- namic meeting took place, with many fruitful exchanges of ideas. In order to produce a work that would have lasting value to the mathematical community, the organisers decided to invite a small number of participants to write in-depth articles around a common theme. These articles provide a balance between introductory surveys and ones that present the newest results that lie at the frontiers of research. We thank these mathematicians, all experts in their field, for their contributions. Such meetings depend on the support of national organisations and the local community and we would like to thank the following: the Ministere de l'Education Nationale, Ministere des Affaires Etrangeres, Centre National de Recherche Sci en- tifique (CNRS), Conseil Regional de Bretagne, Conseil General du Finistere, Com- munaute Urbaine de Brest, Universite de Bretagne Occidentale (UBO), Faculte des Sciences de l'UBO, Laboratoire de Mathematiques de l'UBO and the Departement de Mathematiques de l'UBO. Their support was generous and ensured the success of the meeting. We would also like to thank the members of the scientific committee for their advice and for their participation in the conception and composition of this volume: Pierre Berard, Jean-Pierre Bourguignon, Frederic Helein, Seiki Nishikawa and Franz Pedit.

Автор: Marcel Berger
Название: A Panoramic View of Riemannian Geometry
ISBN: 364262121X ISBN-13(EAN): 9783642621215
Издательство: Springer
Рейтинг:
Цена: 121110.00 T
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Описание: Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann.

Автор: J?rgen Jost
Название: Nonlinear Methods in Riemannian and K?hlerian Geometry
ISBN: 3034877080 ISBN-13(EAN): 9783034877084
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
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Описание: Let us Iist some of the most important ones: - harmonic maps between Riemannian and Kahlerian manifolds - minimal surfaces in Riemannian manifolds - Monge-Ampere equations on Kahler manifolds - Yang-Mills equations in vector bundles over manifolds.

Автор: Gianna Stefani; Ugo Boscain; Jean-Paul Gauthier; A
Название: Geometric Control Theory and Sub-Riemannian Geometry
ISBN: 3319021311 ISBN-13(EAN): 9783319021317
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presenting state-of-the-art research in a highly applicable field, this collection features papers by leading scientists combining these two methodologies, in honor of the groundbreaking work of Andrei Agrachev. It includes a chapter on open problems.